Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What are factors of a number?

Back

Factors are the integers that can be multiplied together to produce that number.

Front

GCF of 36 and 99?

Back

9

Front

GCF of 20 and 30?

Back

10

Front

GCF of 16 and 18?

Back

2

Front

GCF of 99 and 54?

Back

9

Front

What are the factors of 24?

Back

1, 2, 3, 4, 6, 8, 12, 24

Front

What is the relationship between GCF and LCM?

Back

The GCF (Greatest Common Factor) and LCM (Least Common Multiple) of two numbers are related by the formula: GCF × LCM = Product of the numbers.

Front

Can the GCF of two prime numbers be greater than 1?

Back

No, the GCF of two prime numbers is always 1, as they have no common factors other than 1.